The algebra associated with the \(\mathcal {R}(p,q)-\)  deformation is a quantum algebra, denoted \(\mathcal {A}_{\mathcal {R}(p,q)},\)  generated by the set of operators \(\lbrace 1, A, A^{\dagger }, N\rbrace \)  satisfying the following commutation relations [1]}:
\(&& \quad A A^\dag = [N+1]_{\mathcal {R}(p,q)},\quad \quad \quad A^\dag A = [N]_{\mathcal {R}(p,q)}.\cr &&\left[N,\; A\right] = - A, \qquad \qquad \quad \left[N,\;A^\dag \right] = A^\dag \) 
